Algebraic division

3 $qhe=expression

can be written as

State the value of A

Circle your answer.

3 4 7 9

It is given that

P(x) = 4x³ + 8x² + 11x + 4

Use the factor theorem to show that (2x + 1) is a factor of P(x)

Express P(x) in the form

P (x) = (2 x + 1)(ax 2 + bx + c)

where a, b and c are constants to be found.

Given that

use the factor theorem to prove that (5x 1) is a factor of P(x).

Factorise P (x) completely.

Hence, prove that 250n³ 300n² 110n 12 is a multiple of 12 when n is a positive whole number.

p(x) 4x³ 15x² 48x 36

Use the factor theorem to prove that x 6 is a factor of p(x).

Prove that the graph of y p(x) intersects the x-axis at exactly one point.

State the coordinates of this point of intersection.

p(x) 30x³ 7x² 7x 2

Prove that (2x 1) is a factor of p(x)

Factorise p (x) completely.

Prove that there are no real solutions to the equation